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Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs
This paper presents an efficient numerical method for solving nonlinear mixed Volterra- integral equations in the complex plane. The method is based on the fixed point iteration procedure. In each iteration of this method, ...
Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
In this paper, we construct a new iterative method for solving nonlinear Volterra Integral Equation of the second kind, by approximating the Legendre polynomial basis. Error analysis is worked using property of interpolation. ...
Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis
In this article we approximate the solutions of the nonlinear Fredholm integral equations of the second kind, by the method based on using the properties of RH wavelets and matrix operator. Also, the Banach fixed point ...
A new sequential approach for solving the integro-differential equation via Haar wavelet bases
In this work, we present a method for numerical approximation of fixed point operator, particularly
for the mixed Volterra–Fredholm integro-differential equations. The main tool for error analysis is the Banach fixed ...